6533b821fe1ef96bd127b607
RESEARCH PRODUCT
Divisible designs and groups
Ralph-hardo SchulzAntonino Giorgio Sperasubject
Pure mathematicsDifferential geometryHyperbolic geometryExponentGeometry and TopologyAlgebraic geometryArithmeticFrobenius groupTranslation (geometry)Quotient groupMathematicsProjective geometrydescription
We study (s, k, λ1, λ2)-translation divisible designs with λ1≠0 in the singular and semi-regular case. Precisely, we describe singular (s, k, λ1, λ2)-TDD's by quasi-partitions of suitable quotient groups or subgroups of their translation groups. For semi-regular (s, k, λ1, λ2)-TDD's (and, more general, for the case λ2>λ1) we prove that their translation groups are either Frobenius groups or p-groups of exponent p. Some examples are given for the singular, semi-regular and regular case.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1992-11-01 | Geometriae Dedicata |